3 9) Use y'(3) to determine if the graph of y = 4 cos x +- is increasing or decreasing when x = 3. %3D

Q: b) g(x) = 2sin B = A = Amplitude = T = Max = Horizontal shift = x-values of key points: A =…

A: (a) The given functions are fx=-13cos2x (b) The given function is gx=2sinx4 (c) The given function…

Q: : Q2) Find the derivatives of each of the following functions? 1- y= tan (V3x + In(5x)) 2 y In…

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Q: Quiz-3 (page 2 of 5) G Google u - daj X M Verify your email address b My Tutoring | bartleby uluilg…

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Q: If y = cos*[sec2 (30)], and (6 y will be equal to? 9.

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Q: 2) Show that: cos (0) sin (0) (6) (5) - (² Xp = Yp sin cos (0) a))) ||rp|| cos (0 - a) -||rp|| sin…

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Q: Find y' : In(cos² 3x) = e*+y + sin-1 y

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Q: tind the derivatiues of given functions with respect tox. 12

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Q: Find y' where y where y = 10 sin-1 (cos (21 z)) - tan C BARANG (18 r)

A: Given: Now,             y'=10arcsincos21x-arctan18x'     =10arcsincos21x' -arctan18x'…

Q: B/ Find the value of 1. tan+e O 1 2 dx 2. tante

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Q: 5 cos? (- x), then f' ) %3D is

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Q: For the function y = х2 х3 find the derivative dx dy УЗx

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Q: Calculate facos xdx . (a) rsinr – casz+c (b) Icosz+sin x+c (c) zcost-sin x+c (d) Isinz+cOSI+C (e)…

A: Formula for integral by parts :        ∫u(x).v(x) dx=ux∫vxdx - u'x∫∫vxdxdx+…

Q: =4 and f = 12 and let g(x)=f(x)cosx. Find g 6.

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Q: Find y' if y=Cos (sinx)

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Q: Find the GS for y""+y"+y' + y = 1−x + e* - COS X

A: Given differential equation y'''+y''+y'+y=1-x+ex-cosx

Q: 2) Find f' (=), f" (A), f" (E) given f (0) = sin 30 cos 0

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Q: range of the following. a) 150, 250, 825, 400, 18, 500 b) 2.2, 1.8, 5.1, 0.3

A: The range of a set discrete finite is A is [ min(A) , max(A) ].

Q: Determine the value of the serie 4∑ ((-1)^n)/(n^2) *cos(nx) at the point x=1

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Q: Calculate y' given y below. (a) xey = y − 1. (b) y = (cos x)^x (c) y =(√sin^3(√2x))

A: a). Differentiate separately both sides of the equation (treat y as a function of…

Q: Find y'. tan(x + y) = x + y

A: Solution ) tan ( x + y ) = (x + y ) Differentiate with respect to x d/dx tan ( x + y ) = d/dx ( x +…

Q: (1 point) Approximate cos(4.6) using a quadratic approximat First note that cos(4.6) cos(3/2). Let…

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Q: Solve: y" + y'tanx = (y')²

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.